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Simplifying 5(7 + -2k) = 0 (7 * 5 + -2k * 5) = 0 (35 + -10k) = 0 Solving 35 + -10k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + -35 + -10k = 0 + -35 Combine like terms: 35 + -35 = 0 0 + -10k = 0 + -35 -10k = 0 + -35 Combine like terms: 0 + -35 = -35 -10k = -35 Divide each side by '-10'. k = 3.5 Simplifying k = 3.5
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